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Finding the Third Proportional to 279,497 and 603,254

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Solution

The third proportional to 279,497 and 603,254 is: 1,302,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,497 : 603,254 = 603,254 : x
  2. Step 2: Convert to fraction form
    279,497/603,254 = 603,254/x
  3. Step 3: Cross multiply
    279,497x = 603,254 × 603,254
  4. Step 4: Simplify right side
    279,497x = 363,915,388,516
  5. Step 5: Solve for x
    x = 363,915,388,516/279,497
  6. Step 6: Final answer
    x = 1,302,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.